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任意的拉-欧边界元法解大晃动问题
引用本文:刘志宏,黄玉盈.任意的拉-欧边界元法解大晃动问题[J].振动工程学报,1993,6(1):10-19.
作者姓名:刘志宏  黄玉盈
作者单位:华中理工大学力学系,华中理工大学力学系 武汉,430074,武汉,430074
摘    要:本文针对可动边界问题提出了一个任意的拉格朗日-欧拉边界元法.运用该方法不仅边界上的控制点可以精确地跟踪自由面,而且可以避免单元畸变,保持良好的数值稳定性,实例计算表明这对求解大振幅晃动问题特别有效.另外文中引入了临界振幅的概念,对晃动分析中使用小振幅假设的条件进行了论证,首次给出了它的量级界限.

关 键 词:边界元法  晃动  非线性晃动  临界振幅  任意的拉-欧边界元法

An Arbitrary Lagrangian-Eulerian Boundary Element Method for Large-Amplitude Sloshing Problems
Liu Zhihong, Huang Yuying.An Arbitrary Lagrangian-Eulerian Boundary Element Method for Large-Amplitude Sloshing Problems[J].Journal of Vibration Engineering,1993,6(1):10-19.
Authors:Liu Zhihong  Huang Yuying
Affiliation:Liu Zhihong, Huang Yuying Department of Mechanics,Huazhong University of Science and Technology Wuhan,430074
Abstract:In this paper, an Arbitrary Lagrangian-Eulerian Boundary Element Method(ALE-BEM)has been presented to analyse the large amplitude sloshing problems,whose control nodes can be moved to track the free surface along any prescribed curves only by one displacement variable even for a three dimensional problem. An equal distribution of the boundary elements on free surface is also performed approximately to avoid any element distortion. Good results are achieved even when the amplitude of water oscillation rises near to 100% of the original depth of the stationary water.On the other hand, a critical-amplitude is obtained which is convenient for engineers to know where the small-amplitude assumption can be used for sloshing problems without producing inadmissible errors.Several numerical examples are analyzed to demonstrate the efficiency of the present method. The results, which are in very good agreement with the experimental data given by Muto et al.,indicate that the ALE-BEM is a very promising technique and possesses the greatest possibility to analyse large-amplitude sloshing problems of containers with arbitrary shape,including two dimensional and three dimensional ones, and other fluid-structure-interaction(FSI)problems.
Keywords:: boundary element method  sloshing  nonlinear solshing  critical-amplitude  ALE-BEM  
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